Abstract
We discuss the basic principles of self-organization of a finite number of charged particles interacting via the Coulomb potential in disk geometry. The analysis is based on the cyclic symmetry and periodicity of the Coulomb interaction between particles located on several rings. As a result, a system of equations is derived, which allows us readily to determine with high accuracy the equilibrium configurations of a few hundred charged particles. For , we predict the formation of a hexagonal core and valence circular rings for the centered configurations.
- Received 20 March 2014
DOI:https://doi.org/10.1103/PhysRevE.91.032312
©2015 American Physical Society